Diameter of Shaft given Bending Stress Pure Bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
d = ((32*Mb)/(pi*σb))^(1/3)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Shaft on Strength Basis - (Measured in Meter) - Diameter of Shaft on Strength Basis is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
Bending Moment in Shaft - (Measured in Newton Meter) - Bending Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to bend.
Bending Stress in Shaft - (Measured in Pascal) - Bending Stress in Shaft is the normal stress that is induced at a point in a shaft subjected to loads that cause it to bend.
STEP 1: Convert Input(s) to Base Unit
Bending Moment in Shaft: 1800000 Newton Millimeter --> 1800 Newton Meter (Check conversion here)
Bending Stress in Shaft: 177.8 Newton per Square Millimeter --> 177800000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((32*Mb)/(pi*σb))^(1/3) --> ((32*1800)/(pi*177800000))^(1/3)
Evaluating ... ...
d = 0.0468936046890178
STEP 3: Convert Result to Output's Unit
0.0468936046890178 Meter -->46.8936046890178 Millimeter (Check conversion here)
FINAL ANSWER
46.8936046890178 46.8936 Millimeter <-- Diameter of Shaft on Strength Basis
(Calculation completed in 00.020 seconds)

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16 Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft
Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion
Go Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)
Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16
Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3)
Diameter of Shaft given Bending Stress Pure Bending
Go Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
Torsional Shear Stress given Principal Shear Stress in Shaft
Go Torsional Shear Stress in Shaft = sqrt(Principal Shear Stress in Shaft^2-(Normal Stress in Shaft/2)^2)
Normal Stress given Principal Shear Stress in Shaft Bending and Torsion
Go Normal Stress in Shaft = 2*sqrt(Principal Shear Stress in Shaft^2-Torsional Shear Stress in Shaft^2)
Maximum Shear Stress in Shaft Bending and Torsion
Go Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2)
Bending Stress in Shaft Pure Bending Moment
Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
Bending Moment given Bending Stress Pure Bending
Go Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32
Tensile Stress in Shaft when it is Subjected to Axial Tensile Force
Go Tensile Stress in Shaft = 4*Axial Force on Shaft/(pi*Diameter of Shaft on Strength Basis^2)
Axial Force given Tensile Stress in Shaft
Go Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4
Power transmitted by Shaft
Go Power Transmitted by Shaft = 2*pi*Speed of Shaft*Torque transmitted by Shaft
Normal Stress given Both Bending and Torsional act on Shaft
Go Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft
Tensile Stress given Normal Stress
Go Tensile Stress in Shaft = Normal Stress in Shaft-Bending Stress in Shaft
Bending Stress given Normal Stress
Go Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft

Diameter of Shaft given Bending Stress Pure Bending Formula

Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
d = ((32*Mb)/(pi*σb))^(1/3)

Define Bending Moment

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Diameter of Shaft given Bending Stress Pure Bending?

Diameter of Shaft given Bending Stress Pure Bending calculator uses Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3) to calculate the Diameter of Shaft on Strength Basis, The Diameter of Shaft given Bending Stress Pure Bending formula is defined as the diameter of the shaft on which we gonna apply bending moment. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to calculate Diameter of Shaft given Bending Stress Pure Bending using this online calculator? To use this online calculator for Diameter of Shaft given Bending Stress Pure Bending, enter Bending Moment in Shaft (Mb) & Bending Stress in Shaft b) and hit the calculate button. Here is how the Diameter of Shaft given Bending Stress Pure Bending calculation can be explained with given input values -> 46893.6 = ((32*1800)/(pi*177800000))^(1/3).

FAQ

What is Diameter of Shaft given Bending Stress Pure Bending?
The Diameter of Shaft given Bending Stress Pure Bending formula is defined as the diameter of the shaft on which we gonna apply bending moment and is represented as d = ((32*Mb)/(pi*σb))^(1/3) or Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3). Bending Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to bend & Bending Stress in Shaft is the normal stress that is induced at a point in a shaft subjected to loads that cause it to bend.
How to calculate Diameter of Shaft given Bending Stress Pure Bending?
The Diameter of Shaft given Bending Stress Pure Bending formula is defined as the diameter of the shaft on which we gonna apply bending moment is calculated using Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3). To calculate Diameter of Shaft given Bending Stress Pure Bending, you need Bending Moment in Shaft (Mb) & Bending Stress in Shaft b). With our tool, you need to enter the respective value for Bending Moment in Shaft & Bending Stress in Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter of Shaft on Strength Basis?
In this formula, Diameter of Shaft on Strength Basis uses Bending Moment in Shaft & Bending Stress in Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
  • Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)
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